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Business Segments (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Jun. 30, 2021
Jun. 30, 2020
Jun. 30, 2021
Jun. 30, 2020
Segment Reporting Information [Line Items]        
Net revenues: $ 1,587.6 $ 1,305.0 $ 3,116.2 $ 2,655.7
Percent change in net revenues 21.70%   17.30%  
Gross profit: $ 1,034.1 843.7 $ 2,027.9 1,700.5
Percent change in gross profit 22.60%   19.30%  
Operating profit $ 472.6 383.9 $ 924.2 777.5
Percent change in operating profit 23.10%   18.90%  
Long-lived assets: $ 231.0 193.0 $ 231.0 193.0
Percent change in long-lived assets 19.70%      
Corporate        
Segment Reporting Information [Line Items]        
Unallocated corporate general and administrative expenses $ 54.6 50.3 105.7 94.7
Application Software        
Segment Reporting Information [Line Items]        
Net revenues: $ 591.6 398.4 $ 1,168.2 803.5
Percent change in net revenues 48.50%   45.40%  
Gross profit: $ 409.3 273.8 $ 808.0 544.2
Percent change in gross profit 49.50%   48.50%  
Operating profit $ 154.2 113.4 $ 307.9 211.0
Percent change in operating profit 36.00%   45.90%  
Long-lived assets: $ 127.9 88.5 $ 127.9 88.5
Percent change in long-lived assets 44.50%      
Network Software & Systems        
Segment Reporting Information [Line Items]        
Net revenues: $ 458.7 422.0 $ 898.9 860.2
Percent change in net revenues 8.70%   4.50%  
Gross profit: $ 318.8 284.8 $ 618.2 578.0
Percent change in gross profit 11.90%   7.00%  
Operating profit $ 150.5 130.6 $ 286.0 269.3
Percent change in operating profit 15.20%   6.20%  
Long-lived assets: $ 52.7 46.5 $ 52.7 46.5
Percent change in long-lived assets 13.30%      
Measurement & Analytical Solutions        
Segment Reporting Information [Line Items]        
Net revenues: $ 397.0 363.9 $ 778.0 729.1
Percent change in net revenues 9.10%   6.70%  
Gross profit: $ 230.4 221.5 $ 455.1 436.1
Percent change in gross profit 4.00%   4.40%  
Operating profit $ 124.0 123.0 $ 248.1 237.0
Percent change in operating profit 0.80%   4.70%  
Long-lived assets: $ 34.3 37.4 $ 34.3 37.4
Percent change in long-lived assets (8.30%)      
Process Technologies        
Segment Reporting Information [Line Items]        
Net revenues: $ 140.3 120.7 $ 271.1 262.9
Percent change in net revenues 16.20%   3.10%  
Gross profit: $ 75.6 63.6 $ 146.6 142.2
Percent change in gross profit 18.90%   3.10%  
Operating profit $ 43.9 16.9 $ 82.2 60.2
Percent change in operating profit 159.80%   36.50%  
Long-lived assets: $ 16.1 $ 20.6 $ 16.1 $ 20.6
Percent change in long-lived assets (21.80%)